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18016190640 = 24335721721931
BaseRepresentation
bin10000110001110110…
…010100000010110000
31201111120122022102000
4100301312110002300
5243344121100030
612135421254000
71205313044100
oct206166240260
951446568360
1018016190640
117705740758
1235a9704300
1319116abb46
14c2ca43200
15706a05860
hex431d940b0

18016190640 has 1440 divisors, whose sum is σ = 83323238400. Its totient is φ = 3553320960.

The previous prime is 18016190639. The next prime is 18016190641. The reversal of 18016190640 is 4609161081.

It is a happy number.

18016190640 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 6 + 1 + 9 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (18016190639) and next prime (18016190641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18016190595 and 18016190604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18016190641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 581167425 + ... + 581167455.

It is an arithmetic number, because the mean of its divisors is an integer number (57863360).

Almost surely, 218016190640 is an apocalyptic number.

18016190640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18016190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41661619200).

18016190640 is an abundant number, since it is smaller than the sum of its proper divisors (65307047760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18016190640 is a wasteful number, since it uses less digits than its factorization.

18016190640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18016190640 in words is "eighteen billion, sixteen million, one hundred ninety thousand, six hundred forty".